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Finding the Third Proportional to 50.99 and 82.10

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Solution

The third proportional to 50.99 and 82.10 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.99 : 82.10 = 82.10 : x
  2. Step 2: Convert to fraction form
    50.99/82.10 = 82.10/x
  3. Step 3: Cross multiply
    50.99x = 82.10 × 82.10
  4. Step 4: Simplify right side
    50.99x = 6,740.55
  5. Step 5: Solve for x
    x = 6,740.55/50.99
  6. Step 6: Final answer
    x = 132.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.